General viscosity iterative method for a sequence of quasi-nonexpansive mappings

In this paper, we study a general viscosity iterative method due to Aoyama and Kohsaka for the fixed point problem of quasi-nonexpansive mappings in Hilbert space. First, we obtain a strong convergence theorem for a sequence of quasi-nonexpansive mappings. Then we give two applications about variational inequality problem to encourage our main theorem. Moreover, we give a numerical example to illustrate our main theorem.